Q: What are the factor combinations of the number 30,007,439?

 A:
Positive:   1 x 300074397 x 428677711 x 272794977 x 38970779 x 379841553 x 54263869 x 345314933 x 6083
Negative: -1 x -30007439-7 x -4286777-11 x -2727949-77 x -389707-79 x -379841-553 x -54263-869 x -34531-4933 x -6083


How do I find the factor combinations of the number 30,007,439?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 30,007,439, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 30,007,439
-1 -30,007,439

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,007,439.

Example:
1 x 30,007,439 = 30,007,439
and
-1 x -30,007,439 = 30,007,439
Notice both answers equal 30,007,439

With that explanation out of the way, let's continue. Next, we take the number 30,007,439 and divide it by 2:

30,007,439 ÷ 2 = 15,003,719.5

If the quotient is a whole number, then 2 and 15,003,719.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 30,007,439
-1 -30,007,439

Now, we try dividing 30,007,439 by 3:

30,007,439 ÷ 3 = 10,002,479.6667

If the quotient is a whole number, then 3 and 10,002,479.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 30,007,439
-1 -30,007,439

Let's try dividing by 4:

30,007,439 ÷ 4 = 7,501,859.75

If the quotient is a whole number, then 4 and 7,501,859.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 30,007,439
-1 30,007,439
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

171177795538694,9336,08334,53154,263379,841389,7072,727,9494,286,77730,007,439
-1-7-11-77-79-553-869-4,933-6,083-34,531-54,263-379,841-389,707-2,727,949-4,286,777-30,007,439

More Examples

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